positive semidefinite functionA framework is developed for the general nonlinear H ∞ output feedback control problem, in which two major restrictions are relaxed, i.e., the non-singular penalty in H ∞ cost and the positive definite solution of Hamilton–Jacobi inequality at present state space ...
positive semidefinite半正定 1.Under the cases that the objective function is positive definite or positive semidefinite, the necessary and sufficient conditions to characterize global optimal solution are obtained.假定约束是可行、规范的,对于目标函数为正定或半正定的情形,得到了全局最优解的充要条件。 2.Gi...
•Convexfunctionf⇔Dfconvexandf(λx1+(1−λ)x2)≤λf(x1)+(1−λ)f(x2),∀x1,x2∈Df,∀λ∈[0,1]. •fconvex⇔epi(f)convex⇔f(x+λd)convex∀x,d:x+λd∈Df. Whyconvexityisgood? •Iffconvexthen –loc.min.⇒glob.min. ...
Semidefinite Lyapunov functions stability and stabilization Systems Control Lett. (1996) J. Kang, Advanced control for fuel economy and emissions improvement in spark ignition engines, Ph.D. thesis,... J. Kang, J.W. Grizzle, Nonlinear control for joint air and fuel management in a SI engine,...
T-semidefinite programmingPolynomial optimizationThe T-product for third-order tensors has been used extensively in the literature. In this paper, we first introduce first-order and second-order T-derivatives for the multi-variable real-valued function with the tensor T-product. Inspired by an ...
Among the existing methods, adapted to function appropriately for actuarial risk matrices, APM is extremely efficient in producing solutions that are optimal in the Frobenius norm. An efficient algorithm that would return a positive semidefinite matrix that is optimal in Chebychev norm is currently ...
a Toeplitz matrix generated by a real-valued and nonnegative function the stiffness matrix in the finite element method ... Inner Product Theorem Let A\in\mathbb{C}^{n\times n} be Hermitian A is positive semidefinite if and only if A=B^*B, where B\in\mathbb{C}^{m\times n} Proof...
PositiveSemidefiniteMatrixQ[m] gives True if m is explicitly positive semidefinite, and False otherwise.
正定函数positive definite function 正定积分形式positive definite integral form 正定阵positively definite matrix 正定向positive orientation 双语例句 1. Then A is positive semidefinite, negative definite and negative semidefinite. 则A是半正定, 负定,半负定的。
A positive definite kernel defined on a finite set is usually called a positive semidefinite matrix. Sometimes it is only called "positive", which may be misleading. When working on groups, the name positive definite function is used traditionally. In our previous papers on abelian semigroups ...